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Question: If the parabola y<sup>2</sup> = 4ax passes through (3, 2), then length of latus rectum of the parabo...

If the parabola y2 = 4ax passes through (3, 2), then length of latus rectum of the parabola is –

A

23\frac{2}{3}

B

43\frac{4}{3}

C

13\frac{1}{3}

D

4

Answer

43\frac{4}{3}

Explanation

Solution

y2 = 4ax ...(1)

P(3, 2)

Q Parabola (1) is passes through the point P,

\ By (1) ̃ (2)2 = 4a(3) ̃ 4a = 4/3

\ Length of latus rectum = 4a = 4/3